Consider the following boxplot. 1.5 IQR a. Does the boxplot indicate possible outliers in the distribution? Yes O No 1.5 IQR b. Describe the skewness of the underlying distribution. O The distribution is symmetric. O The distribution is positively skewed. O The distribution is negatively skewed.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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## Understanding the Boxplot

### Boxplot Diagram Explanation:

The image shows a boxplot with the following components:

- **Box:** The center box represents the interquartile range (IQR), which is the middle 50% of the data.
- **Whiskers:** They extend 1.5 times the IQR from the edges of the box. This suggests the range in which most of the data points lie.
- **1.5 IQR Notation:** Indicates the extent of the whiskers from both sides of the box.

### Questions:

**a. Does the boxplot indicate possible outliers in the distribution?**

- **Answer:** Yes (selected option)
- This implies that data points may fall outside the 1.5 IQR range, potentially indicating outliers.

**b. Describe the skewness of the underlying distribution.**

- **Options:**
  - ○ The distribution is symmetric.
  - ○ The distribution is positively skewed.
  - ○ The distribution is negatively skewed.

No option is selected in the image for this part, indicating the need for further analysis or context to determine skewness.
Transcribed Image Text:## Understanding the Boxplot ### Boxplot Diagram Explanation: The image shows a boxplot with the following components: - **Box:** The center box represents the interquartile range (IQR), which is the middle 50% of the data. - **Whiskers:** They extend 1.5 times the IQR from the edges of the box. This suggests the range in which most of the data points lie. - **1.5 IQR Notation:** Indicates the extent of the whiskers from both sides of the box. ### Questions: **a. Does the boxplot indicate possible outliers in the distribution?** - **Answer:** Yes (selected option) - This implies that data points may fall outside the 1.5 IQR range, potentially indicating outliers. **b. Describe the skewness of the underlying distribution.** - **Options:** - ○ The distribution is symmetric. - ○ The distribution is positively skewed. - ○ The distribution is negatively skewed. No option is selected in the image for this part, indicating the need for further analysis or context to determine skewness.
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